Discrete Math Floor And Ceiling

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Discrete math floor and ceiling. The int function short for integer is like the floor function but some calculators and computer programs show different results when given negative numbers. In mathematics and computer science the floor function is the function that takes as input a real number and gives as output the greatest integer less than or equal to denoted or similarly the ceiling function maps to the least integer greater than or equal to denoted or. A floor function map a real number to a smallest previous integer b greatest previous integer c smallest following integer d none of the mentioned view answer. And this is the ceiling function.

You may have been calculating the floor and ceiling of 1 5 incorrectly. Let a and b be real numbers with a b. This set of discrete mathematics multiple choice questions answers mcqs focuses on floor and ceiling function. How do i use the floor and or ceiling functions to express the number of integers n that satisfy a n b.

Floor and ceiling functions let x be a real number the floor function of x denoted by x is the largest integer that is smaller than or equal to x the ceiling function of x denoted by x is the. Remember 2 1 5 1 so 2 is the floor and 1 the ceiling not the other way round. Since we know that x n if and only if x n n integer. Some say int 3 65 4 the same as the floor function.

Cs 2336 discrete mathematics author.